Answer:
Step-by-step explanation:
one rectangle has the area, A₁=LxW and,
perimeter P₁=2L+2W
the second rectangle has the area A₂=2L x W,
and perimeter P₂=2(2L)x2W= 4Lx2W
the second area doubles compared to the first area
the perimeter gets increased with double the length
Answer:

Step-by-step explanation:
The equation of a circle is given by
, where
is the center of the circle and
is the radius of the circle.
From the diagram, we can find the following:
- the radius of the circle is 4
- the center of the circle is located at (1,6)
Thus, we have:

Answer:
A and E
Step-by-step explanation:
if its colder it means the negative number must be bigger then -15oF such as -22oF and -20oF
Answer:
Three terms.
Step-by-step explanation:
Hi there! I'm glad I was able to help you!
Our given expression: 5x + 3y - 6
The equation shown above has three terms. They aren't "like" terms, but altogether we still have three terms.
In mathematical wording, we would call this a TRI-nomial. The prefix "tri" obviously means "three", so this is an easy way to remember the answer!
Term 1: [ 5x ]
Term 2: [ 3y ]
Term 3: [ 6 ]
*** Putting the three terms together makes this a trinomial again! ***
I hope this helped you! You can leave a comment below if you have any other questions! :)
We are given the two functions:
f(x) = 2x + 7
g(x) = 6x – 5
Part A. Find (f + g)(x)
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 2 x + 7 + 6 x – 5
(f + g)(x) = 8 x + 2
Part B. Find (f ⋅ g)(x)
(f ⋅ g)(x) = f(x) ⋅ g(x)
(f ⋅ g)(x) = (2 x + 7) (6 x – 5)
(f ⋅ g)(x) = 12 x^2 – 10 x + 42 x – 35
(f ⋅ g)(x) = 12 x^2 + 32 x – 35
Part C. Find
f[g(x)]
f[g(x)] = 2 (6
x – 5) + 7
f[g(x)] = 12 x
– 10 + 7
f[g(x)] = 12 x
- 3